I don't know about the state you might be in, but in California there is no payroll deduction to go towards unemployment. That fund is sourced through taxing your employers. Yes, they pay it for you, so I am not sure how one acquires and entitlement or something you are due when you made no contribution towards it.

Thank your employers who get taxed just have you on board and taxed some more as more of you take unemployment decreasing the fund.

UE is a government program funded by taxes...like all government programs.